Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

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  • Add Math 0606 overview
  • Formula summary
Additional Mathematics 0606 / Logarithms and Exponents / 3.40

3.40: Integral equal to ln 16

0606/11/O/N/24 — Question 4 · 5 marks · Log laws, Exponentials

· ·
Given that ∫0a43x+8 dx=ln⁡16\displaystyle\int_{0}^{a}\frac{4}{3x + 8}\,\mathrm{d}x = \ln 16∫0a​3x+84​dx=ln16, find the exact value of the constant aaa.
[5]
← 3.39: Single lg and quadratic in log_a 43.41: Log and exponential equations →
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